13555654431400 has 48 divisors (see below), whose sum is σ = 31519950300540. Its totient is φ = 5421736396800.

The previous prime is 13555654431383. The next prime is 13555654431413. The reversal of 13555654431400 is 413445655531.

13555654431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1924839912996 + 11630814518404 = 1387386^2 + 3410398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211031 + ... + 5345830.

Almost surely, 2^{13555654431400} is an apocalyptic number.

13555654431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13555654431400 is an abundant number, since it is smaller than the sum of its proper divisors (17964295869140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13555654431400 is a wasteful number, since it uses less digits than its factorization.

13555654431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567214 (or 6567205 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 13555654431400 in words is "thirteen trillion, five hundred fifty-five billion, six hundred fifty-four million, four hundred thirty-one thousand, four hundred".